Energetic Electrons

In atoms, electrons jump between energy levels, and they absorb or radiate energy in the form of light (photons). An electron falls to a lower energy level when it radiates a photon, and jumps to a higher energy level when it absorbs a photon.

Find the wavelength of the photon that radiates when an electron jumps from the \(n = 3\) energy level down to the \(n = 2\) energy level. Where is this photon in the electromagnetic spectrum?

Assumptions

\(h\) (Planck's constant) = \(4.14 \times 10^-15\) eV s.

\(c\) (Speed of light) = \(3 \times 10^8\) m/s.

All values are approximate.

Assume that this is a hydrogen atom.

It is in the visible red light spectrum with a wavelength of 656 nm.It is in the visible orange light spectrum of wavelength equal to 620 nm.It is in the ultraviolet spectrum of wavelength equal to 121 nm.It is in the visible blue light spectrum of wavelength equal to 467 nm.